\documentclass{article}
\usepackage{avm,parsetree}
\avmfont{\sc}
\avmoptions{sorted,active}
\avmvalfont{\rm}
\avmsortfont{\scriptsize\it}
\pagestyle{empty}
\begin{document}
 
\ptbegtree
 \ptbeg
 \npile{S\\
        see' (s, k)\\
        \lambda y see' ( y,k ) (s)}
    \ptbeg
    \npile{NP\\s}
      \npile{Sam\\s}
    \ptend
    \ptbeg
    \npile{VP\\ \lambda y see' ( y,k )\\
                 \lambda x \lambda y see' ( y,x ) (k)}
            \ptbeg
            \npile{V\\ \lambda x \lambda y see' ( y,x ) }
                \npile{saw\\ \lambda x \lambda y see ( y,x )}
            \ptend
            \ptbeg
            \npile{NP\\k}
                  \npile{Kim\\k}
            \ptend
     \ptend
\ptend
\ptendtree

\end{document}
